Add 5√10 + √10
A 6√20
B √60
C 5√10
D √25
To solve this problem, we can simplify the expression by combining like terms.
First, we have 5√10 + √10.
Since both terms have a square root of 10, we can combine them by adding the coefficients:
5√10 + √10 = (5 + 1)√10 = 6√10.
Therefore, the simplified expression is 6√10.
The correct answer is not provided in the options.
To solve this, we can simplify the expression by combining like terms.
Given: 5√10 + √10
Step 1: The two terms have the same radical, which is √10. So we can add the coefficients of these terms, which are 5 and 1.
5 + 1 = 6
Step 2: Then, we keep the square root symbol and write the result from Step 1 as the coefficient.
6√10
Therefore, the simplified expression is 6√10.
The correct answer is A) 6√20 is not the simplified form.
To add the terms 5√10 and √10, we need to combine like terms.
Step 1: Identify the terms with the same radical. In this case, both terms have the square root of 10 (√10).
Step 2: Add the coefficients (numbers in front of the radical). In this case, the coefficient for 5√10 is 5, and the coefficient for √10 is 1.
Step 3: Add the coefficients together. 5 + 1 = 6.
Step 4: Keep the radical (√10) unchanged and write the combined coefficient (6) in front.
The sum of 5√10 and √10 is therefore 6√10, which is not one of the given answer choices. None of the answer choices provided are correct.